Geodesic
EXISTENCE OF INFINITELY MANY SOLUTIONS FOR SUBLINEAR ELLIPTIC PROBLEMS
Glasgow mathematical journal, Tome 54 (2012) no. 3, pp. 535-545

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DOI

We study the following nonlinear Dirichlet boundary value problem:where Ω is a bounded domain in RN(N ≥ 2) with a smooth boundary ∂Ω and g ∈ C(Ω × R) is a function satisfying for all x ∈ Ω. Under appropriate assumptions, we prove the existence of infinitely many solutions when g(x, t) is not odd in t.
DOI : 10.1017/S0017089512000146
Mots-clés : 35J20, 35J25, 35J60 
ZHONG, X.; ZOU, W. EXISTENCE OF INFINITELY MANY SOLUTIONS FOR SUBLINEAR ELLIPTIC PROBLEMS. Glasgow mathematical journal, Tome 54 (2012) no. 3, pp. 535-545. doi: 10.1017/S0017089512000146
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     title = {EXISTENCE {OF} {INFINITELY} {MANY} {SOLUTIONS} {FOR} {SUBLINEAR} {ELLIPTIC} {PROBLEMS}},
     journal = {Glasgow mathematical journal},
     pages = {535--545},
     year = {2012},
     volume = {54},
     number = {3},
     doi = {10.1017/S0017089512000146},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000146/}
}
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